Substitute the following linear equation 2x+3y=11/3
5x-7y=31/3
Answers
Answer:
Solution :
{x,y} = {170/87,-7/87}
Step-by-step explanation:
System of Linear Equations entered :
[1] 2x + 3y = 11/3
[2] 5x - 7y = 31/3
// To remove fractions, multiply equations by their respective LCD
Multiply equation [1] by 3
Multiply equation [2] by 3
// Equations now take the shape:
[1] 6x + 9y = 11
[2] 15x - 21y = 31
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 15x = 21y + 31
[2] x = 7y/5 + 31/15
// Plug this in for variable x in equation [1]
[1] 6•(7y/5+31/15) + 9y = 11
[1] 87y/5 = -7/5
[1] 87y = -7
// Solve equation [1] for the variable y
[1] 87y = - 7
[1] y = - 7/87
// By now we know this much :
x = 7y/5+31/15
y = -7/87
// Use the y value to solve for x
x = (7/5)(-7/87)+31/15 = 170/87
Solution :
{x,y} = {170/87,-7/87}
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